Thread: calculate number of transitions between number of intervals of 'road functions'

At the definition of a street renovation project, a street or street section (e.g. length = 100m) is split into strips, e.g. 1.pavement 2.road 3.parking 4.pavement.

However, some strips have more than 1 'function', e.g. strip 3 consists of parkingspots, alternated with some vegetation spots and (garage) exits: it is a 'mixed' strip.



The roadplanner fills out the road profile with strips and functions. For the 'mixed' strip, he fills out the following information (example):
- parking, 50 meter, 4 intervals
- vegetation, 20 meter, 6 intervals
- exit, 30 meter, 3 intervals

The length of each function is the total length of all intervals of that function.

The visualisation only shows the 3 functions and not the number of intervals. The planner can not draw/enter each individual interval (as this could take too much time)

QUESTION: IS THERE AN 'ALGORITHM' WHICH CALCULTES THE NUMBER OF TRANSITIONS BETWEEN (each possible combination of) 2 FUNCTIONS?
- there is no difference between a transition from functionA-to-functionB and functionB-to-functionA
- it can be assumed that the maximum number of functions is 5
- it doesn't realy matter with which function the section starts and with which one it ends
- the calculation of the number of transitions does not have to be exact (a deviation of 2 per tranistion between 2 function can be accepted, but the more accurate the better...).
- Please specify assumptions you make to get a working algorithm

Example 1
actual situation:
Input in tool:
- parking, x meter, 4 intervals
- vegetation, y meter, 4 intervals
- exit, z meter, 3 intervals
This should lead to following output of the algorithm I am looking for (or results close to this):
From parking to vegetation (or vice versa): 4 transistions
From parking to exit (or vice versa): 3 transistions
From exit to vegetation (or vice versa): 3 transistions


Example 2 (
actual situation:
Input in tool:
- parking, x meter, 5 intervals
- vegetation, y meter, 3 intervals
- exit, z meter, 2 intervals
This should lead to following output of the algorithm I am looking for (or results close to this)
From parking to vegetation (or vice versa): 4 transistions
From parking to exit (or vice versa): 3 transistions
From exit to vegetation (or vice versa): 1 transistions

umm what do u you need help with?

I am looking for an algorithm that generates the desired output (as specified) from the given inpu (as specified). Changed some text in problem description and elaborated the pictures to clarify the problem better.